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Speed Factor Formula

GoSpeed Factor according to German Formula Formula

GoSpeed Factor using German Formula and Speed is above 100kmph Formula

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Speed Factor is a value which is used to change the static rail load to a dynamic rail load. Check FAQs

F sf = \frac{V t}{18.2 \cdot \sqrt{k}}

F_sf - Speed Factor?V_t - Speed of Train?k - Track Modulus?

Speed Factor Example

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With units

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Here is how the Speed Factor equation looks like with Values.

Here is how the Speed Factor equation looks like with Units.

Here is how the Speed Factor equation looks like.

2.1138 = \frac{149}{18.2 \cdot \sqrt{15}}

2.1138 = \frac{149km/h}{18.2 \cdot \sqrt{15kgf/m²}}

2.1138 = \frac{149}{18.2 \cdot \sqrt{15}}

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Speed Factor Solution

Follow our step by step solution on how to calculate Speed Factor?

FIRST Step Consider the formula

F sf = \frac{V t}{18.2 \cdot \sqrt{k}}

Next Step Substitute values of Variables

∴

F sf = \frac{149km/h}{18.2 \cdot \sqrt{15kgf/m²}}

Next Step Prepare to Evaluate

∴

F sf = \frac{149}{18.2 \cdot \sqrt{15}}

Next Step Evaluate

∴

F sf = 2.11382607540258

LAST Step Rounding Answer

∴

F sf = 2.1138

Speed Factor Formula Elements

Variables

Functions

Speed Factor

Speed Factor is a value which is used to change the static rail load to a dynamic rail load.

Symbol: F_sf

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Speed Factor

Speed of Train

Speed of Train is the rate at which the object covers a specific distance.

Symbol: V_t

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Speed of Train

Track Modulus

Track modulus is the vertical stiffness of rail foundation.

Symbol: k

Measurement: PressureUnit: kgf/m²

Note: Value can be positive or negative.

Formulas to find Track Modulus

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Speed Factor

Go Speed Factor according to German Formula

F sf = \frac{{V t}^{2}}{30000}

Go Speed Factor using German Formula and Speed is above 100kmph

F sf = (\frac{4.5 \cdot {V t}^{2}}{10^{5}}) - (\frac{1.5 \cdot {V t}^{3}}{10^{7}})

Other formulas in Speed Factor category

Go Speed given Speed Factor

V t = F sf \cdot (18.2 \cdot \sqrt{k})

Go Speed using German Formula

V t = \sqrt{F sf \cdot 30000}

Go Track Modulus given Speed Factor

k = {(\frac{V t}{18.2 \cdot F sf})}^{2}

How to Evaluate Speed Factor?

Speed Factor evaluator uses Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)) to evaluate the Speed Factor, The Speed Factor is defined as the value used for increasing the static load value for considering dynamic effect for design of rails. Its generally called as Indian formula. Speed Factor is denoted by F_sf symbol.

How to evaluate Speed Factor using this online evaluator? To use this online evaluator for Speed Factor, enter Speed of Train (V_t) & Track Modulus (k) and hit the calculate button.

FAQs on Speed Factor

What is the formula to find Speed Factor?

The formula of Speed Factor is expressed as Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)). Here is an example- 2.113826 = 41.3888888888889/(18.2*sqrt(147.09974999999)).

How to calculate Speed Factor?

With Speed of Train (V_t) & Track Modulus (k) we can find Speed Factor using the formula - Speed Factor = Speed of Train/(18.2*sqrt(Track Modulus)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Speed Factor?

Here are the different ways to Calculate Speed Factor-

Speed Factor=(Speed of Train^2)/30000
Speed Factor=((4.5*Speed of Train^2)/10^5)-((1.5*Speed of Train^3)/10^7)

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Speed Factor Formula

​GoSpeed Factor according to German Formula Formula

​GoSpeed Factor using German Formula and Speed is above 100kmph Formula

Speed Factor Example

Speed Factor Solution

Speed Factor Formula Elements

Other Formulas to find Speed Factor

Other formulas in Speed Factor category

How to Evaluate Speed Factor?

FAQs on Speed Factor

Variable Name

GoSpeed Factor according to German Formula Formula

GoSpeed Factor using German Formula and Speed is above 100kmph Formula